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Finding the Fourth Proportional to 399.08, 594.24 and 394.72

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Solution

The fourth proportional to 399.08, 594.24 and 394.72 is: 587.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.08 : 594.24 = 394.72 : x
  2. Step 2: Convert to fraction form
    399.08/594.24 = 394.72/x
  3. Step 3: Cross multiply
    399.08x = 594.24 × 394.72
  4. Step 4: Simplify right side
    399.08x = 234,558.41
  5. Step 5: Solve for x
    x = 234,558.41/399.08
  6. Step 6: Final answer
    x = 587.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.